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Finding the Third Proportional to 454,601 and 681,902

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Solution

The third proportional to 454,601 and 681,902 is: 1,022,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,601 : 681,902 = 681,902 : x
  2. Step 2: Convert to fraction form
    454,601/681,902 = 681,902/x
  3. Step 3: Cross multiply
    454,601x = 681,902 × 681,902
  4. Step 4: Simplify right side
    454,601x = 464,990,337,604
  5. Step 5: Solve for x
    x = 464,990,337,604/454,601
  6. Step 6: Final answer
    x = 1,022,853.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.